The expression can be calculated to be 101763.
But, note that 366 = 147 + 219
And the expression sqrt((a^4 + b^4 + (a+b)^4 )/2) can be simplified.
I guess this rescues the calculator from having to work too hard.
(147^4 + 219^4 + 366^4) = 20,711,416,338 which might overflow some calculators, I suppose.
sqrt((a**4 + b**4 + (a+b)**4 )/2)
= sqrt((2a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 2b^4)/2)
= sqrt((a^4 + 2a^3b + 3a^2b^2 + 2ab^3 + b^4))
= a^2 + ab + b^2
This simplifies the calculation of 101763 in case some intermediate answers cause an overflow error, or a rounding error when taking the square root.
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Posted by Larry
on 2020-11-23 11:53:26 |
Solution, I guess
